Results 71 to 80 of about 3,791,283 (277)
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions
Fractal and FractionalThe Weierstrass function W(x)=∑n=1∞ancos(2πbnx) is a function that is continuous everywhere and differentiable nowhere. There are many investigations on fractal dimensions of the Weierstrass function, and the investigation of its Hausdorff dimension is ...
Yue Qiu, Yongshun Liang
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Fractal properties of particle paths due to generalised uncertainty relations
European Physical Journal C: Particles and Fields, 2022 We determine the Hausdorff dimension of a particle path, $$D_\textrm{H}$$ D H , in the recently proposed ‘smeared space’ model of quantum geometry. The model introduces additional degrees of freedom to describe the quantum state of the background and ...
Matthew J. Lake
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On the dimension of a certain measure in the plane [PDF]
, 2013 We study the Hausdorff dimension of a measure related to a positive weak solution of a certain partial differential equation in a simply connected domain in the plane.
Dedicated John, L. Lewis, Murat Akman
core
Arbitrary‐Scale Point Cloud Upsampling via Enhanced Geometric Spatial Consistency
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Point cloud upsampling is an essential yet challenging task in various 3D computer vision and graphics applications. Existing methods often struggle with limitations such as the generation of outliers or shrinkage artifacts. Additionally, these methods usually ignore the overall spatial structure of point clouds, leading to suboptimal results.
Xianjing Cheng +5 more
wiley +1 more source
Market Allocations Under Conflation of Goods
International Economic Review, EarlyView.ABSTRACT We study competitive equilibria in exchange economies when a continuum of goods is conflated into a finite set of commodities. The design of conflation choices affects the allocation of scarce resources among agents, by constraining trading opportunities and shifting competitive pressures.
Niccolò Urbinati, Marco LiCalzi
wiley +1 more source
Hausdorff dimension of boundaries of self-affine tiles in R^n [PDF]
, 1997 We present a new method to calculate the Hausdorff dimension of a certain class of fractals: boundaries of self-affine tiles. Among the interesting aspects are that even if the affine contraction underlying the iterated function system is not conjugated ...
Veerman, J. J. P.
core +4 more sources
Limit Orders and Knightian Uncertainty
International Economic Review, EarlyView.ABSTRACT A wide variety of financial instruments allows risk‐averse traders to reduce their exposure to risk. This raises the question of what financial instruments allow ambiguity‐averse traders to reduce their exposure to ambiguity. We show in this paper that price‐contingent orders, such as limit orders, are sufficient: In a two‐period trading model,
Michael Greinecker, Christoph Kuzmics
wiley +1 more source
Journal of Microscopy, EarlyView.Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran +7 more
wiley +1 more source
Computational aspects of the Hausdorff distance in unbounded dimension
Journal of Computational Geometry, 2014 We study the computational complexity of determining the Hausdorff distance oftwo polytopes given in halfspace- or vertex-presentation in arbitrary dimension.
Stefan König
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On the Billingsley dimension of Birkhoff average in the countable symbolic space
Comptes Rendus. Mathématique, 2020 We compute a lower bound of Billingsley–Hausdorff dimension, defined by Gibbs measure, of the level set related to Birkhoff average in the countable symbolic space $\mathbb{N}^{\mathbb{N}}$.
Attia, Najmeddine, Selmi, Bilel
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